Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force F, is applied at an angle of a = 65° and the force FB is applied at an angle of B = 35°. The distance between B and the hinge at C is DBC = 2 m, and the distance between A and the hinge at C is DAC = 3 m. Suppose that |F4| = 300 N. DAC a BB Dạc a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude |FB|. d) Calculate |Fg|. OK

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The
gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static
equilibrium. The force FA is applied at an angle of a = 65° and the force FB is applied at an angle of
B = 35°. The distance between B and the hinge at C is DBC = 2 m, and the distance between A and the
hinge at C is DAC = 3m. Suppose that [FA| = 300 N.
DAC
BB
Dec
a)
Draw a Free Body Diagram to represent this set-up.
b)
Write down the equations for static equilibrium.
c)
Calculate the moment about C, leaving your answer in terms of the unknown force magnitude |FB|.
d)
Calculate |FB|.
Transcribed Image Text:Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force FA is applied at an angle of a = 65° and the force FB is applied at an angle of B = 35°. The distance between B and the hinge at C is DBC = 2 m, and the distance between A and the hinge at C is DAC = 3m. Suppose that [FA| = 300 N. DAC BB Dec a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude |FB|. d) Calculate |FB|.
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Design of Mechanical Springs
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY